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2404431225 = 3252724672
BaseRepresentation
bin1000111101010000…
…1011010101111001
320012120100202120100
42033110023111321
514411013244400
61034331150013
7113404220400
oct21724132571
96176322510
102404431225
111024269849
125712a5309
132c41aa891
1418b494637
15e114e100
hex8f50b579

2404431225 has 81 divisors (see below), whose sum is σ = 5020472847. Its totient is φ = 1096814880.

The previous prime is 2404431223. The next prime is 2404431251. The reversal of 2404431225 is 5221344042.

The square root of 2404431225 is 49035.

It is a perfect power (a square), and thus also a powerful number.

2404431225 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 431 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 865595241 + 1538835984 = 29421^2 + 39228^2 .

It is not a de Polignac number, because 2404431225 - 21 = 2404431223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2404431223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5148442 + ... + 5148908.

Almost surely, 22404431225 is an apocalyptic number.

2404431225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2404431225 is the 49035-th square number.

2404431225 is the 24518-th centered octagonal number.

It is an amenable number.

2404431225 is an abundant number, since it is smaller than the sum of its proper divisors (2616041622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2404431225 is an equidigital number, since it uses as much as digits as its factorization.

2404431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The cubic root of 2404431225 is about 1339.6893957824.

Adding to 2404431225 its reverse (5221344042), we get a palindrome (7625775267).

The spelling of 2404431225 in words is "two billion, four hundred four million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 467 525 735 1225 1401 1575 2205 2335 3269 3675 4203 7005 9807 11025 11675 16345 21015 22883 29421 35025 49035 68649 81725 105075 114415 147105 205947 218089 245175 343245 572075 654267 735525 1029735 1090445 1526623 1716225 1962801 3271335 4579869 5148675 5452225 7633115 9814005 10686361 13739607 16356675 22899345 32059083 38165575 49070025 53431805 68698035 96177249 114496725 160295415 267159025 343490175 480886245 801477075 2404431225